Bead Ornaments

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    I could not figure out the correct answer for [4]. Here is my manual solution, which is 6 instead of the official answer of 16:

        1) 1234,2341,3412,4123
        2) 1243,2431,4312,3124
        3) 1324,3241,2413,4132
        4) 1342,3421,4213,2134
        5) 1423,4231,2314,3142
        6) 1432,4321,3214,2143